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Finding the Fourth Proportional to 12,206.04, 16,843.20 and 6,900.84

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Solution

The fourth proportional to 12,206.04, 16,843.20 and 6,900.84 is: 9,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.04 : 16,843.20 = 6,900.84 : x
  2. Step 2: Convert to fraction form
    12,206.04/16,843.20 = 6,900.84/x
  3. Step 3: Cross multiply
    12,206.04x = 16,843.20 × 6,900.84
  4. Step 4: Simplify right side
    12,206.04x = 116,232,228.29
  5. Step 5: Solve for x
    x = 116,232,228.29/12,206.04
  6. Step 6: Final answer
    x = 9,522.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.